How can I calculate int(exp(sin(x)),x) in MATLAB

Question

There's a warning when I tried to do an integration with MATLAB!

syms z
int(exp(sin(z)),z)

Warning: Explicit integral could not be found.

Wolfram Alpha agrees: http://m.wolframalpha.com/input/?i=Integral+e%5Esin%5Bx%5D+dx — Mad Physicist, Aug 17 '19 at 01:26
Are you confused by the message "Explicit integral could not be found."? — Mad Physicist, Aug 17 '19 at 01:27

score 4 · Answer 1 · answered Aug 17 '19 at 01:32

The expression exp(sin(x)) does not have a known analytical formula for it's indefinite integral. Mathematica agrees with Matlab on this: http://m.wolframalpha.com/input/?i=Integral+e%5Esin%5Bx%5D+dx.

While you can't evaluate the indefinite integral, you can compute definite integrals numerically to an arbitrary precision.

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